MHT CET 2025 Physics question

PhysicsWork, Energy and PowerMHT CET 2025

A stone of mass 1 kg tied to a light inextensible string of length L = m is rotating in a circular path of radius L in a vertical plane. If the ratio of maximum tension in the string to the minimum tension in the string is 3, the speed of the stone at the highest point of the circle is (g = acceleration due to gravity)

Answer: (C)

Solution

Tension is minimum at the top and maximum at the bottom. Let be the speed at the top. At the top: . Speed at the bottom from energy conservation: , so . Given :

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Question ID VK-100657